What is the Greatest Common Factor of 33684 and 33697?

Greatest common factor (GCF) of 33684 and 33697 is 1.

GCF(33684,33697) = 1

We will now calculate the prime factors of 33684 and 33697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33684 and 33697.

How to find the GCF of 33684 and 33697?

We will first find the prime factorization of 33684 and 33697. After we will calculate the factors of 33684 and 33697 and find the biggest common factor number .

Step-1: Prime Factorization of 33684

Prime factors of 33684 are 2, 3, 7, 401. Prime factorization of 33684 in exponential form is:

33684 = 2² × 3¹ × 7¹ × 401¹

Step-2: Prime Factorization of 33697

Prime factors of 33697 are 31, 1087. Prime factorization of 33697 in exponential form is:

33697 = 31¹ × 1087¹

Step-3: Factors of 33684

List of positive integer factors of 33684 that divides 33684 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 401, 802, 1203, 1604, 2406, 2807, 4812, 5614, 8421, 11228, 16842

Step-4: Factors of 33697

List of positive integer factors of 33697 that divides 33684 without a remainder.

1, 31, 1087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33684 and 33697. The biggest common factor number is the GCF number.
So the greatest common factor 33684 and 33697 is 1.

Also check out the Least Common Multiple of 33684 and 33697